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Q1. In this problem,
f(x) = 5x - x2 - 6
For polynomial function find the following:
(a) Degree of the polynomial
(b) All x intercepts
(c) The y intercept.
Q2. For rational function -
f(x) = (x + 2/x - 2)
(a) Find the intercept for the graph.
(b) Determine the domain.
(c) Find any vertical or horizontal asymptotes for the graph.
(d) Sketch any asymptotes as dashed lines. Then sketch a graph of y = f(x) for - 10 ≤ x ≤ 10 and -10 ≤ y ≤ 10.
Q3. Find the equation of any horizontal asymptote.
f(x) = x4 + 2x2 + 1/1 - x5
Q4. Find the equation of any vertical asymptotes.
f(x) = (x2 - x - 6/x2 - 3x - 10).
What is the current value of a $1,000 bond with a 5% annual coupon rate (paid semi-annually) that matures in 6 years if the appropriate stated annual discount rate is 8%.
Compute the tangent vector x' (t). Determine how x' (0) and x' (1) are related to the control points, and give geometric descriptions of the directions of these tangent vectors. Is it possible to have x' (1) = 0?
the foot of the ladder is 7 foot from the wall. the height and the length of the ladder are consecutive integers. find the length of the ladder.
What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.00 m/s?
Computing probability, mean and standard deviation for the given information and evaluate the mean number of sales expected.
A sphere of fixed radius R is enclosed in a cone of height h and radius r. Express the volume V of the cone as a function of the slant angle of the cone.
Should the null hypothesis be rejected for the difference between the two groups in change in mobility scores over 12 weeks? Provide a rationale for your answer.
1. Let V be a real vector space. We know that V has an additive identity, called 0. Suppose there is a vector u ∈ V with the property that u+v=vforeveryv∈V. Showthatu=0. (Thisshowsthatarealvector space can only have one additive identity.)
Plot the regression model on a scatter plot of BMI difference & COFFDIFF.
Assume the readings on a thermometers are normally distrubuted with a mean of 0 degree C and a standard deviation of 1.00 degree Celsius. Find the proabilitys that a randomly selected thermometer read leass than 1.43.
If an object is dropped from a height of 50 feet, the function d = -16t^2 + 50 gives the height of the object after t seconds. what does the input value of the function represent? what does the output value of this function represent?
Two urns contain both black and white marbles. Urn 1 contains 5 white marbles and 8 black marbles. Urn 2 contains 6 white marbles and 10 black marbles.
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